Information on Result #918880
Linear OOA(458, 37, F4, 2, 37) (dual of [(37, 2), 16, 38]-NRT-code), using construction X applied to AG(2;F,20P) ⊂ AG(2;F,28P) based on
- linear OOA(450, 29, F4, 2, 37) (dual of [(29, 2), 8, 38]-NRT-code), using algebraic-geometric NRT-code AG(2;F,20P) [i] based on function field F/F4 with g(F) = 13 and N(F) ≥ 30, using
- F4 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- linear OOA(442, 29, F4, 2, 29) (dual of [(29, 2), 16, 30]-NRT-code), using algebraic-geometric NRT-code AG(2;F,28P) [i] based on function field F/F4 with g(F) = 13 and N(F) ≥ 30 (see above)
- linear OOA(48, 8, F4, 2, 7) (dual of [(8, 2), 8, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(48, 9, F4, 2, 7) (dual of [(9, 2), 10, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,10P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(2;F,10P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- discarding factors / shortening the dual code based on linear OOA(48, 9, F4, 2, 7) (dual of [(9, 2), 10, 8]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.